code: def test_dominates_invalid() -> None:
      directions = [StudyDirection.MINIMIZE, StudyDirection.MAXIMIZE]
  
      # The numbers of objectives for `t1` and `t2` don't match.
      t1 = create_trial(values=[1])  # One objective.
      t2 = create_trial(values=[1, 2])  # Two objectives.
      with pytest.raises(ValueError):
          _dominates(t1, t2, directions)
  
      # The numbers of objectives and directions don't match.
      t1 = create_trial(values=[1])  # One objective.
      t2 = create_trial(values=[1])  # One objective.
      with pytest.raises(ValueError):
          _dominates(t1, t2, directions)
  
file_path: optuna/tests/study_tests/test_multi_objective.py
imports: import pytest
  from optuna.study import StudyDirection
  from optuna.study._multi_objective import _dominates
  from optuna.trial import create_trial
  from optuna.trial import TrialState
label_desc: Use image node_id 4 for calling a global function with example usage: test_dominates_invalid() without return types